This result states epsilon regularity theorem for energy-minimizing harmonic maps: given m 2, let q N, and let N R q be a compact smooth embedded submanifold. There exist constants 0>0 and C< , depending only on m and N, with the following property. If x 0 R m,.... It is useful in harmonic map theory and elliptic regularity, where variational identities, curvature estimates, and compactness arguments control geometric objects.